Spectrum of Higher Derivative 6D Chiral Supergravity

TL;DR

This paper analyzes the spectrum of a higher derivative 6D chiral supergravity theory with supersymmetric and non-supersymmetric compactifications, revealing unique features like massless gravitini depending on monopole charge.

Contribution

It provides the complete spectrum analysis of a higher derivative 6D supergravity with both supersymmetric and non-supersymmetric compactifications, including novel massless gravitini phenomena.

Findings

Spectrum determined for supersymmetric Minkowski x S^2 compactification.

Spectrum analyzed for non-supersymmetric compactification with different monopole charge.

Massless gravitini appear depending on monopole charge in non-supersymmetric case.

Abstract

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2 compactification with a U(1) monopole of unit charge on S^2. We determine the full spectrum of the theory on this background. We also determine the spectrum on a non-supersymmetric version of this compactification in which the monopole charge is different from unity, and we find the peculiar feature that there are massless gravitini in a representation of the S^2 isometry group determined by the monopole charge.